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There is a bag of blue, red, and white counters. 1/6 of the bag is blue counters. 1/4 of the bag is red counters. What is the smallest number of white counters that could possibly be in the bag.

6 and 4 are common factors of 24. 1/6 = 4/24, and 1/4=6/24. 4/24+6/24 =10/24 of the bag is blue and red counters. Therefore, 24/24-10/24=14/24 of the bag is white counters. 14/24 can be simplified to 7/12. A...
AC
Answered by Alex C. • Maths tutor
6566 Views

A triangle has 3 angles of 60 degrees, (5y-40) degrees, and (2y+20) degrees. Show that the triangle is equilateral.

All the angles in a triangle add up to 180 degrees. Therefore, 60 + (5y - 40) + (2y + 20) = 180. This can be simplified to 7y +40 = 180. And simplified again to 7y = 140, which then means y = 140 / 7 = 20 de...
AC
Answered by Alex C. • Maths tutor
7392 Views

Billy wants to buy 10kg of the same oranges. Type A comes in bags of 1.25 kg and costs £1.50. Type B comes in bags of 5kg and used to cost £6.60 but are now 15% off. Which type is more worth it for Billy and how much does it cost?

For Type A: 10kg/1.25kg = 8 bags, therefore for 10kg it costs 8 x £1.50 = £12.00. For Type B: 1 bag used to cost £6.60 but now has 15% off =>15% of £6.60 => £6.60 x 0.15 = £0.99 => So one bag now co...
AC
Answered by Alex C. • Maths tutor
4799 Views

How do I solve a quadratic equation?

All quadratic equations can be written in the form ax 2 + bx + c = 0, where a, b and c are constants. Firstly, check whether you can easily factorise the equation into the form (x + p)(x + q) = 0, where pq =...
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Answered by Matthew S. • Maths tutor
4842 Views

By completing the square, find any turning points and intersects with the x and y axes of the following curve. f(x) = 2x^2 - 12x +7

f(x) = 2x 2 - 12x +7 First take out a factor of 2 so that we have the coefficient of x 2 as 1. f(x) = 2[x 2 - 6x +7/2] Next, complete the sqaure on the part in square brackets. f(x) = 2[(x - 3) 2 - 9 + 7/2] ...
FI
Answered by Freddie I. • Maths tutor
25038 Views